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Finding the Third Proportional to 112,123 and 168,657

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Solution

The third proportional to 112,123 and 168,657 is: 253,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,123 : 168,657 = 168,657 : x
  2. Step 2: Convert to fraction form
    112,123/168,657 = 168,657/x
  3. Step 3: Cross multiply
    112,123x = 168,657 × 168,657
  4. Step 4: Simplify right side
    112,123x = 28,445,183,649
  5. Step 5: Solve for x
    x = 28,445,183,649/112,123
  6. Step 6: Final answer
    x = 253,696.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.